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Finding the Fourth Proportional to 659.13, 988.42 and 294.15

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Solution

The fourth proportional to 659.13, 988.42 and 294.15 is: 441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.13 : 988.42 = 294.15 : x
  2. Step 2: Convert to fraction form
    659.13/988.42 = 294.15/x
  3. Step 3: Cross multiply
    659.13x = 988.42 × 294.15
  4. Step 4: Simplify right side
    659.13x = 290,743.74
  5. Step 5: Solve for x
    x = 290,743.74/659.13
  6. Step 6: Final answer
    x = 441.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.